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Finding the Third Proportional to 398,930.06 and 598,805.16

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Solution

The third proportional to 398,930.06 and 598,805.16 is: 898,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,930.06 : 598,805.16 = 598,805.16 : x
  2. Step 2: Convert to fraction form
    398,930.06/598,805.16 = 598,805.16/x
  3. Step 3: Cross multiply
    398,930.06x = 598,805.16 × 598,805.16
  4. Step 4: Simplify right side
    398,930.06x = 358,567,615,151.59
  5. Step 5: Solve for x
    x = 358,567,615,151.59/398,930.06
  6. Step 6: Final answer
    x = 898,823.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.